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Bye, Jeffrey K.; Harsch, Rina M.; Varma, Sashank – Journal of Numerical Cognition, 2022
Algebraic thinking and strategy flexibility are essential to advanced mathematical thinking. Early algebra instruction uses 'missing-operand' problems (e.g., x - 7 = 2) solvable via two typical strategies: (1) direct retrieval of arithmetic facts (e.g., 9 - 7 = 2) and (2) performance of the inverse operation (e.g., 2 + 7 = 9). The current study…
Descriptors: Algebra, Problem Solving, Mathematics Instruction, Arithmetic
Gierl, Mark J.; Wang, Changjiang; Zhou, Jiawen – Journal of Technology, Learning, and Assessment, 2008
The purpose of this study is to apply the attribute hierarchy method (AHM) to a sample of SAT algebra items administered in March 2005. The AHM is a psychometric method for classifying examinees' test item responses into a set of structured attribute patterns associated with different components from a cognitive model of task performance. An…
Descriptors: Test Items, Protocol Analysis, Psychometrics, Algebra